Think about it this way, for most of a game a player is 1 of 12 on the ice. How much of an impact does each really have on the shot totals? I believe there are only a small number of players on each team who actually drive possession, and everyone else is just along for the ride making a minimal contribution to the shot clock. It's probably something like 25% of the players have a meaningful impact on shot differential, the other parts are interchangeable.
One group frequently that frequently gets overrated by Corsi is bottom pairing defenseman, where defensive defensemen who play some of the most difficult minutes will often have a poor Corsi For. The bottom pairing defensemen get to play their ice time against the bottom forward lines from the other team, where the defensive guy will often play against the best opposing forwards. A common roster mistake made by teams who place extra emphasis on shot differential is to replace the low Corsi guys playing tougher minutes with a high Corsi guy playing easier minutes. Then when the "analytics darling" gets put into tougher situations, he can't handle it.
I do think that there can be some usefulness to shot differential statistics, if viewed in the proper context, comparing players who play in similar situations. When I see that Drew Doughty or Patrice Bergeron has a consistently high Corsi For, that makes sense. The two most important Corsi For percentages on your roster should be the #1 Defenseman and the #1 Center. I do care how those players affect the shots on goal battle. But if you're going to use Corsi to promote or demote players up and down the line-up, be warned that it's a slippery slope.
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